Scheme III (piecewise linear) and V (piecewise parabolic) of Van Leer are shown to yield identical solutions provided the initial conditions are chosen in an appropriate manner. This result is counter intuitive since it is generally believed that piecewise linear and piecewise parabolic methods cannot produce the same solutions due to their different degrees of approximation. The result also shows a key connection between the approaches of discontinuous and continuous representations.


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    Title :

    On High-Order Upwind Methods for Advection


    Contributors:

    Conference:

    AIAA Computational Fluid Dynamics Conference ; 2017 ; Denver, CO, United States


    Publication date :

    2017-08-01


    Type of media :

    Report


    Type of material :

    No indication


    Language :

    English